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Analysis of the eigenvectors of the fourth-order moments of the detection of amplitude modulation of the Gaussian noise

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V.V. Isakevich – Ph.D. (Eng.), Associate Professor, Vladimir State University. E-mail: businesssoftservice@gmail.com
D.V. Isakevich – Technical Director, LLC "Businesssoftservice", Vladimir. E-mail: businesssoftservice@gmail.com
L.V. Grunskaya – Dr.Sci. (Eng.), Professor, Vladimir State University. E-mail: grunsk@vpti.vladimir.ru
L.Т. Suschkova – Dr.Sci. (Eng.), Professor, Vladimir State University. E-mail: ludm@vlsu.ru
V.Е. Lukyanov – Post-graduate Student, Vladimir State University. E-mail: ghostly_slayer@mail.ru


The applicability of the analyzer of the eigenvectors of the covariance matrices of time series in detecting the amplitude modulation of a Gaussian noise. A generalization of the eigenvectors of the covariance matrix to its own matrix of the moment tensor of the fourth order. Showing signs of their own matrices that identify the presence of amplitude modulation of the white Gaussian noise at low modulation index and the length of the series. The conclusion about the feasibility of further studies to analyze the applicability of the analyzer noise and noise-like signals.
References:

  1. Patent RF №116242 Analizator sobstvenny'x vektorov i komponent signala / Grunskaya L.V., Isakevich V.V., Isakevich D.V.
  2. www.gi statgroup.com/gus/book1/algor.html
  3. Kostrikin A.I. Vvedenie v algebru. V 3-x chastyax. Linejnaya algebra. Ch. 2. Izd-vo MCNMO. 2012.

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